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Simplifying 40x4a2 + 16x2a3 = 8x2a2 Solving 40a2x4 + 16a3x2 = 8a2x2 Solving for variable 'a'. Reorder the terms: -8a2x2 + 40a2x4 + 16a3x2 = 8a2x2 + -8a2x2 Combine like terms: 8a2x2 + -8a2x2 = 0 -8a2x2 + 40a2x4 + 16a3x2 = 0 Factor out the Greatest Common Factor (GCF), '8a2x2'. 8a2x2(-1 + 5x2 + 2a) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'a2x2' equal to zero and attempt to solve: Simplifying a2x2 = 0 Solving a2x2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 5x2 + 2a)' equal to zero and attempt to solve: Simplifying -1 + 5x2 + 2a = 0 Reorder the terms: -1 + 2a + 5x2 = 0 Solving -1 + 2a + 5x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2a + 1 + 5x2 = 0 + 1 Reorder the terms: -1 + 1 + 2a + 5x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2a + 5x2 = 0 + 1 2a + 5x2 = 0 + 1 Combine like terms: 0 + 1 = 1 2a + 5x2 = 1 Add '-5x2' to each side of the equation. 2a + 5x2 + -5x2 = 1 + -5x2 Combine like terms: 5x2 + -5x2 = 0 2a + 0 = 1 + -5x2 2a = 1 + -5x2 Divide each side by '2'. a = 0.5 + -2.5x2 Simplifying a = 0.5 + -2.5x2Solution
a = {0.5 + -2.5x2}
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